论文标题
1+1D隐式磁盘计算
1+1D implicit disk computations
论文作者
论文摘要
我们提出了一种隐式数值方法,可以在轴向对称性中求解辐射流体动力学(RHD)的时方程,假设垂直于气态磁盘的赤道平面(1+1d)的静水平衡。方程在自适应网格上以保守形式制定,相应的通量由空间二阶对流方案计算。通过求解可能的方程来包括磁盘的自我实现。我们通过与简化的分析溶液进行比较,以及通过将粘度物质转移到中央宿主恒星和磁盘耗竭时的长期粘性演化来测试所得的数值方法。在几个示例中证明了内部边界条件对磁盘结构行为的重要性。
We present an implicit numerical method to solve the time-dependent equations of radiation hydrodynamics (RHD) in axial symmetry assuming hydrostatic equilibrium perpendicular to the equatorial plane (1+1D) of a gaseous disk. The equations are formulated in conservative form on an adaptive grid and the corresponding fluxes are calculated by a spacial second order advection scheme. Self-gravity of the disk is included by solving the Possion equation. We test the resulting numerical method through comparison with a simplified analytical solution as well as through the long term viscous evolution of protoplanetary disk when due to viscosity matter is transported towards the central host star and the disk depletes. The importance of the inner boundary conditions on the structural behaviour of disks is demonstrated with several examples.